非线性矩阵方程来源于控制理论，梯形网络，动态规划，排队理论，随机过滤，统计学等应用领域。
Nonlinear matrix equations arise in areas of control theory, ladder networks, dynamic programming, queueing theory, stochastic filtering and statistics.
该法以电路的改进节点方程为基础，具有建立故障诊断方程容易，所建立的方程具有较低的非线性度及规则的雅可比矩阵的特点。
This method based on modified nodal approach is easy to set up the fault diagnosis equations and has lower degree of nonlinearity and regular Jacobi matrix form.
本文利用微分方程单位解矩阵估计的相关方法，得到了确定含有非线性电阻的动态电路唯一稳态的条件。
Based on the estimation of the unit solution matrixes of differential equations, the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure.
第三章利用矩阵理论与重合度理论，讨论了一类非自共轭非线性二阶差分方程周期解的存在性问题。
Chapter 3 is centered around the existence of periodical solutions for non self-adjoint nonlinear second order difference equations by invoking matrix theory and coincide degree theory.
主要分析讨论了PMD的几种研究方法：琼斯矩阵法、斯托克斯空间法和耦合非线性薛定谔方程。
In this paper, several study methods on PMD are analyzed, such as Jones matrix, Stokes vector and the coupled nonlinear Schrodinger equation.
使用初应力法对非线性方程组进行迭代计算，避免了组装和分解总体刚度矩阵的繁杂而庞大的运算。
To cut down great calculation of assembling and disassembling of stiffness matrix in the nonlinear procedure, the initial stress method is introduced to resolve the nonlinear equations.
利用杆件截面的弯矩—曲率关系，可以直接由弹性杆件的转角—位移方程建立单元的非线性刚度矩阵。
By using the moment-curvature relationships of the member section, the inelastic element stiffness matrix is derived directly from the slope-deflection equation of clastic member.
约束矩阵方程问题广泛地应用在结构分析、控制论、振动理论、非线性规划等许多领域，关于约束矩阵方程问题的研究有着重要的理论和应用价值。
The constrained matrix equation problems have been widely used in many fields such as structural analysis, control theory, vibration theory, nonlinear programming and so on.
非线性油膜力则通过相应的位置矩阵耦合到系统的运动方程中去。
The nonlinear oil film forces based on both steady and unsteady oil film model are coupled to the system with help of local function.
本文在严格、完整的基础上，利用矩阵范数理论研究了结构非线性动力分析中数值积分格式的稳定性问题，给出了判别单自由度非线性动力方程积分格式稳定性的一般数学准则。
The problem of stability in the numerical integration schemes of nonlinear dynamic analysis of structures is discussed by using matrix and norm theory on a rigorous and complete basis in this paper.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
即利用矩阵分析理论中的广义逆法，完成非线性方程组的最小二乘求解过程。
The paper also proposes the relevant numerical solver. Namely, it has Solved the equations uses the generalized reciprocal method in the theory of matrix analysis.
即利用矩阵分析理论中的广义逆法，完成非线性方程组的最小二乘求解过程。
The paper also proposes the relevant numerical solver. Namely, it has Solved the equations uses the generalized reciprocal method in the theory of matrix analysis.
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